C. 21/45
If you multiply both the 7 and 15 by 3, you get 21 and 45.
Answer:
It will take 554 years
Step-by-step explanation:
Here, we want to estimate the time when t will be $50
We can rewrite the exponential equation as;
y = 200(1-0.0025)^t
In this case, y = $50 and we want to calculate t
so, we simply proceed to substitute the value 50 for y
we have this as ;
50 = 200(1-0.0025)^t
50/200 = (1-0.0025)^t
1/4 = 0.9975^t
0.25 = 0.9975^t
Take the natural logarithm of both sides
ln 0.25 = ln 0.9975^t
ln 0.25 = t ln 0.9975
t = ln 0.25 / ln 0.9975
t = 553.8 = 554 years
The bike will be $50 in 554 years
The population function of the Western Lowland Gorillas can either represent population growth or population decay
<h3>How to model the population</h3>
The question is incomplete, as the resources to model the population of the Western Lowland Gorillas are not given.
So, I will give a general explanation to solve the question
A population function can be represented as:

Where:
- The initial population of the Western Lowland Gorillas is represented by (a)
- The rate at which the population changes is represented by (r)
- The number of years since 2022 is represented by (x)
- The population in x years is represented by (y)
From the question, we understand that the population of the Western Lowland Gorillas decreases.
This means that the rate of the function would be an exponential decay i.e. 1 -r
Take for instance:

By comparison.
a = 2000 and 1 - r = 0.98
The above function can be used to model the population of the Western Lowland Gorillas
Read more about exponential functions at:
brainly.com/question/26829092
You should know this if you rated yourself as college level...
Answer:
The probability that the first card will be a diamond, the second card will be a black card, and the third card will be a queen is 0.0096
Step-by-step explanation:
Total no. of cards = 52
No. of diamond cards = 13
No. of black cards = 26
No. of queens = 4
Three cards are drawn with replacement from a standard deck.
We are supposed to find he probability that the first card will be a diamond, the second card will be a black card, and the third card will be a queen
Probability of getting diamond card =
Probability of getting black card =
Probability of queen =
Probability that the first card will be a diamond, the second card will be a black card, and the third card will be a queen =
Hence the probability that the first card will be a diamond, the second card will be a black card, and the third card will be a queen is 0.0096